Implement a foundation for the aiken standard library for lists.
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// TODO: To be written once we have support for tuples
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//
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// pub fn map2(xs: List(a), ys: List(b), fn (a, b) -> c) -> List c
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// pub fn map3(xs: List(a), ys: List(b), zs: List(c), fn (a, b, c) -> d) -> List d
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// pub fn zip(xs: List(a), ys: List(b)) -> List(a, b)
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// pub fn unzip(xs: List(a, b)) -> (List(a), List(b))
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use aiken/builtin
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/// Merge two lists together.
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///
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/// ----- TODO: Add support for writing tests.
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///
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/// test concat_1() {
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/// concat([1,2,3], [4,5,6]) == [1,2,3,4,5,6]
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/// }
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///
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/// test concat_2() {
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/// concat([1,2,3], []) == [1,2,3]
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/// }
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///
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/// test concat_3() {
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/// concat([], [1,2,3]) == [1,2,3]
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/// }
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pub fn concat(left: List(a), right: List(a)) -> List(a) {
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foldr(left, fn(x, xs) { [x, ..xs] }, right)
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}
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/// Construct a list filled with n copies of a value.
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///
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/// ----- TODO: Add support for writing tests.
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///
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/// test repeat_1() {
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/// repeat(0, 42) == []
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/// }
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///
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/// test repeat_2() {
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/// repeat(3, 14) == [14,14,14]
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/// }
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pub fn repeat(x: a, n: Int) -> List(a) {
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if n <= 0 {
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[]
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} else {
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[x, ..repeat(x, n - 1)]
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}
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}
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/// Construct a list of a integer from a given range.
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///
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/// ----- TODO: Add support for writing tests.
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///
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/// test range_1() {
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/// range(-1, 1) == [-1, 0, 1]
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/// }
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pub fn range(from: Int, to: Int) -> List(Int) {
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if from > to {
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[]
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} else {
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[from, ..range(from + 1, to)]
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}
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}
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/// Get the first element of a list
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pub fn head(xs: List(a)) -> Option(a) {
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when xs is {
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[] -> None
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_ -> Some(builtin.headList(xs))
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}
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}
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/// Get elements of a list after the first one, if any
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pub fn tail(xs: List(a)) -> Option(List(a)) {
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when xs is {
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[] -> None
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[_, ..rest] -> Some(rest)
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}
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}
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/// Get the first `n` elements of a list.
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pub fn take(xs: List(a), n: Int) -> List(a) {
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if n <= 0 {
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[]
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} else {
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when xs is {
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[] -> []
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[x, ..rest] -> [x, ..take(rest, n - 1)]
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}
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}
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}
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/// Drop the first `n` elements of a list.
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pub fn drop(xs: List(a), n: Int) -> List(a) {
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if n <= 0 {
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xs
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} else {
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when xs is {
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[] -> []
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[_x, ..rest] -> drop(rest, n - 1)
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}
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}
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}
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/// Get the number of elements in the given list.
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///
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/// ----- TODO: Add support for writing tests.
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///
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/// test length_1() {
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/// length([1,2,3]) == 3
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/// }
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///
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/// test length_2() {
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/// length([]) == 0
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/// }
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pub fn length(xs: List(a)) -> Int {
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when xs is {
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[] -> 0
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[_, ..rest] -> 1 + length(rest)
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}
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}
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/// Get the number of elements in the given list.
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///
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/// ----- TODO: Add support for writing tests.
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///
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/// test reverse_1() {
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/// length([1,2,3]) == [3,2,1]
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/// }
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///
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/// test reverse_2() {
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/// length([]) == []
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/// }
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pub fn reverse(xs: List(a)) -> List(a) {
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foldr(xs, fn(x, rest) { [x, ..rest] }, [])
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}
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/// Figures out whether a list contain the given element.
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///
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/// ----- TODO: Add support for writing tests.
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///
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/// test is_elem_1() {
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/// is_elem([1,2,3], 1) == True
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/// }
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///
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/// test is_elem_2() {
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/// is_elem([1,2,3], 14) == False
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/// }
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///
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/// test is_elem_3() {
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/// is_elem([], 14) == False
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/// }
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pub fn is_elem(xs: List(a), x: a) -> Bool {
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when xs is {
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[] -> False
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[y, ..rest] ->
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if x == y {
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True
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} else {
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is_elem(rest, x)
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}
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}
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}
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/// Determine if all elements of the list satisfy the given predicate.
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///
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/// ----- TODO: Add support for writing tests.
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///
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/// test all_1() {
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/// all([1,2,3], fn(n) { n > 0 }) == True
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/// }
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///
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/// test all_2() {
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/// all([1,2,3], fn(n) { n > 42 }) == False
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/// }
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///
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/// test all_3() {
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/// all([], fn(n) { n == 42 }) == True
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/// }
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pub fn all(xs: List(a), predicate: fn(a) -> Bool) -> Bool {
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foldr(xs, fn(x, result) { predicate(x) && result }, True)
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}
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/// Determine if at least one element of the list satisfies the given predicate.
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///
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/// ----- TODO: Add support for writing tests.
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///
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/// test any_1() {
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/// any([1,2,3], fn(n) { n > 0 }) == True
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/// }
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///
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/// test any_2() {
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/// any([1,2,3], fn(n) { n > 42 }) == False
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/// }
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///
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/// test any_3() {
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/// any([], fn(n) { n == 42 }) == False
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/// }
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pub fn any(xs: List(a), predicate: fn(a) -> Bool) -> Bool {
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foldr(xs, fn(x, result) { predicate(x) || result }, True)
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}
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/// Apply a function from each element of a list.
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///
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/// ----- TODO: Add support for writing tests.
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///
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/// test map_1() {
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/// map([1,2,3,4], fn(n) { n + 1 }) == [2,3,4,5]
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/// }
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///
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/// test map_2() {
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/// map([], fn(n) { n + 1 }) == []
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/// }
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pub fn map(xs: List(a), f: fn(a) -> b) -> List(b) {
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when xs is {
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[] -> []
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[x, ..rest] -> [f(x), ..map(rest, f)]
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}
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}
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/// Reduce a list from left to right.
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///
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/// ----- TODO: Add support for writing tests.
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///
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/// test foldl_1() {
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/// foldl([1, 2, 3, 4, 5], fn(n, total) { n + total }, 0) == 15
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/// }
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pub fn foldl(xs: List(a), f: fn(a, b) -> b, zero: b) -> b {
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when xs is {
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[] -> zero
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[x, ..rest] -> foldl(rest, f, f(x, zero))
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}
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}
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/// Reduce a list from right to left.
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///
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/// ----- TODO: Add support for writing tests.
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///
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/// test foldr_1() {
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/// foldr([1, 2, 3, 4, 5], fn(n, total) { n + total }, 0) == 15
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/// }
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pub fn foldr(xs: List(a), f: fn(a, b) -> b, zero: b) -> b {
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when xs is {
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[] -> zero
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[x, ..rest] -> f(x, foldr(rest, f, zero))
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}
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}
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/// Produce a list from elements that statisfy a predicate.
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///
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/// ----- TODO: Add support for writing tests.
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///
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/// test filter_1() {
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/// filter([1, 2, 3, 4, 5, 6], fn(x) { builtin.modInteger(x, 2) == 0 }) == [2, 4, 6]
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/// }
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pub fn filter(xs: List(a), f: fn(a) -> Bool) -> List(a) {
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foldr(
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xs,
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fn(x, ys) {
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if f(x) {
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[x, ..ys]
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} else {
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ys
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}
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},
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[],
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)
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}
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/// Find a element satisfying the given predicate.
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pub fn find(xs: List(a), f: fn(a) -> Bool) -> Option(a) {
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when xs is {
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[] -> None
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[x, ..rest] ->
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if f(x) {
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Some(x)
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} else {
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find(rest, f)
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}
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}
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}
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/// Produce a list from elements that statisfy a predicate.
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///
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/// ----- TODO: Add support for writing tests.
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///
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/// test filter_map_1() {
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/// filter_map([1, 2, 3, 4, 5, 6], fn(x) { if (builtin.modInteger(x, 2) != 0) { Some(3*x) } else { None } }) == [3, 9, 15]
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/// }
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pub fn filter_map(xs: List(a), f: fn(a) -> Option(b)) -> List(b) {
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foldr(
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xs,
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fn(x, ys) {
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when f(x) is {
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None -> ys
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Some(y) -> [y, ..ys]
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}
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},
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[],
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)
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}
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/// Map elements of a list into a new list and flatten the result.
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pub fn flat_map(xs: List(a), f: fn(a) -> List(b)) -> List(b) {
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foldr(xs, fn(x, ys) { concat(f(x), ys) }, [])
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}
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